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Finding the Fourth Proportional to 9,815.64, 13,545.31 and 5,339.58

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Solution

The fourth proportional to 9,815.64, 13,545.31 and 5,339.58 is: 7,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.64 : 13,545.31 = 5,339.58 : x
  2. Step 2: Convert to fraction form
    9,815.64/13,545.31 = 5,339.58/x
  3. Step 3: Cross multiply
    9,815.64x = 13,545.31 × 5,339.58
  4. Step 4: Simplify right side
    9,815.64x = 72,326,266.37
  5. Step 5: Solve for x
    x = 72,326,266.37/9,815.64
  6. Step 6: Final answer
    x = 7,368.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.